105111081 has 32 divisors (see below), whose sum is σ = 163518720. Its totient is φ = 66604032.

The previous prime is 105111079. The next prime is 105111089. The reversal of 105111081 is 180111501.

It is a happy number.

It is not a de Polignac number, because 105111081 - 2¹ = 105111079 is a prime.

It is a super-3 number, since 3×105111081³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105111089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119415 + ... + 120291.

It is an arithmetic number, because the mean of its divisors is an integer number (5109960).

Almost surely, 2^105111081 is an apocalyptic number.

It is an amenable number.

105111081 is a deficient number, since it is larger than the sum of its proper divisors (58407639).

105111081 is a wasteful number, since it uses less digits than its factorization.

105111081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

The square root of 105111081 is about 10252.3695309914. The cubic root of 105111081 is about 471.9357032618.

Adding to 105111081 its reverse (180111501), we get a palindrome (285222582).

The spelling of 105111081 in words is "one hundred five million, one hundred eleven thousand, eighty-one".